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Math 476 – Section 02 Course Schedule Fall 2012 |
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TEXT: |
Contemporary Abstract Algebra, 7th ed, by
Joseph A. Gallian |
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SCHEDULE: |
Unless
announced otherwise, all topics listed herein will be possible topics on the
final exam. The
daily schedule in your section may vary slightly from the schedule listed
below. |
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DAILY WORK: |
Do
the reading from the sections to be covered before coming to class each day.
The exercises listed below represent a minimal assignment and should be done
as the material is covered. Some
students may need to work additional exercises from the text to attain
sufficient mastery of the material. |
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CALCULATORS: |
You
will be permitted to use a calculator on exams. Calculators which are able to do “symbolic
manipulation” will not be permitted on quizzes and exams. Sufficient work must be shown to receive
credit on quiz and exam problems. |
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FINAL EXAM: |
The
time for the final exam is: 3:00 – 5:00pm on Tuesday December 18th.
You are expected to arrange your schedule to allow you to take exams at their
scheduled times. |
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WEEK |
DATES |
SECTIONS |
TOPICS |
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1 |
Mon,
Aug 27 |
Introduction |
Course
Policies, What is Abstract Algebra?, Binary Operations |
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Tues,
Aug 28 |
Chapter
2 |
Properties
of Binary Relations |
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Thurs,
Aug 30 |
Chapter
2 |
Definition
of a Group, Examples |
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Fri,
Aug 31 |
Chapter
2 |
More
Examples of Groups, Elementary Properties of Groups |
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Friday,
August 31st: Drop/Add Deadline – 4:00p.m. |
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2 |
Mon,
Sept 3 |
(no class) |
Labor Day Holiday |
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Tues, Sept 4 |
Chapter
3 |
Order
of a Group, Order of an Element, Subgroups |
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Thurs, Sept 6 |
Chapter 3 |
Examples, the One-Step
Subgroup Test |
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Fri, Sept 7 |
Chapter 3 |
Other Subgroup Tests,
Centers and Centralizers |
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Friday,
September 2th: Pass/No Credit Deadline – 4:00p.m. |
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3 |
Mon,
Sept 10 |
Chapter
0 |
Review
of Modular Arithmetic and the Division Algorithm |
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Tues,
Sept 11 |
Chapter
4 |
Cyclic
Groups and their Properties |
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Thurs,
Sept 13 |
Chapter
4 |
Subgroups
of Cyclic Groups |
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Fri,
Sept 14 |
Chapter
4 |
Generators
of Cyclic Groups, Classifying Subgroups |
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4 |
Mon,
Sept 17 |
Chapter
5 |
Permutations
and Symmetric Groups |
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Tues,
Sept 18 |
Chapter
5 |
Permutations
and Cycle Notation |
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Thurs,
Sept 20 |
Chapter
5 |
Even
and Odd Permutations, Alternating Groups |
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Fri,
Sept 21 |
Review |
Review Problems |
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5 |
Mon,
Sept 24 |
Exam 1 |
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Tues,
Sept 25 |
Chapter
6 |
Group
Isomorphisms, Examples |
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Thurs,
Sept 27 |
Chapter
6 |
Cayley’s
Theorem, Automorphisms |
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Fri,
Sept 28 |
Chapter
7 |
Cosets
of a Subgroup, Properties of Cosets |
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6 |
Mon,
Oct 1 |
Chapter
7 |
LaGrange’s
Theorem and its Consequences |
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Tues,
Oct 2 |
Chapter
8 |
External
Direct Products |
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Thurs,
Oct 4 |
Chapter
9 |
Normal
Subgroups, Examples |
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Fri,
Oct 5 |
Chapter
9 |
More
Examples, Factor Groups |
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7 |
Mon,
Oct 8 |
Chapter
9 |
Applications
of Factor Groups |
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Tues,
Oct 9 |
Chapter
10 |
Group
Homomorphisms, Properties of Homomorphisms |
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Thurs,
Oct 11 |
Chapter
10 |
Homomorphisms and Subgroups, the Kernel of a Homomorphism |
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Fri,
Oct 12 |
Chapter
10 |
Examples
of Homomorphisms |
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8 |
Mon,
Oct 15 |
(no class) |
Fall Breather |
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Tues,
Oct 16 |
(no class) |
Faculty In-Service Day |
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Thurs,
Oct 18 |
Chapter
10 |
The
Isomorphism Theorems |
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Fri, Oct 19 |
Chapter
11 |
The
Fundamental Theorem of Finitely Generated Abelian
Groups |
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9 |
Mon,
Oct 22 |
Review |
Review Problems |
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Tues,
Oct 23 |
Exam 2 |
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Thurs,
Oct 25 |
Chapter
24 |
The
Sylow Theorems |
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Fri,
Oct 26 |
Chapter
24 |
Applications
of the Sylow Theorems |
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10 |
Mon,
Oct 29 |
Chapter
12 |
Definition
of a Ring, Examples, Properties of Rings |
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Tues,
Oct 30 |
Chapter
13 |
Integral
Domains and Fields |
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Thurs,
Nov 1 |
Chapter
14 |
Ideals
of a Ring |
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Fri,
Nov 2 |
Chapter
14 |
More
on Ideals, Factor Rings |
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11 |
Mon,
Nov 5 |
Chapter
14 |
Factor
Rings |
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Tues,
Nov 6 |
Chapter
14 |
Prime
and Maximal Ideals |
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Thurs,
Nov 8 |
Chapter
15 |
Ring
Homomorphisms: Definition and Examples |
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Fri,
Nov 9 |
Chapter
15 |
Properties
of Ring Homomorphisms |
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12 |
Mon,
Nov 12 |
Review |
Review Problems |
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Tues,
Nov 13 |
Exam 3 |
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Wednesday,
November 14th: Withdrawal Deadline – Full Term Classes |
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Thurs,
Nov 15 |
Chapter
15 |
Fields
of Quotients |
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Fri,
Nov 16 |
Chapter
16 |
Polynomial
Rings and the Division Algorithms |
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13 |
Mon,
Nov 19 |
Chapter
17 |
Factorization
of Polynomials, Reducibility Tests |
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Tues,
Nov 20 |
Chapter
17 |
Irreducibility
Tests |
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No Classes:
November 21st – November 23rd ”Fall” (Thanksgiving) Break |
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14 |
Mon,
Nov 26 |
Chapter
17 |
Irreducible
and Maximal Ideals in a Polynomial Ring |
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Tues,
Nov 27 |
Chapter
22 |
Finite
Fields |
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Thurs,
Nov 29 |
Chapter
22 |
Finite
Fields |
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Fri,
Nov 30 |
Chapter
26 |
Generators
and Relations |
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15 |
Mon, Dec 3 |
Chapter
26 |
Generators
and Relations |
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Tues, Dec 4 |
Review |
Review Problems |
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Thurs,
Dec 6 |
Exam 4 |
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Fri,
Dec 7 |
Not
in Text |
Infinite
Groups and Decision Problems in Groups |
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16 |
Mon,
Dec 10 |
Review |
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Tues,
Dec 11 |
Review |
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Wed,
Dec 12 |
Study Day |
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FINAL EXAM: The time for the final exam is: 3:00 – 5:00pm
on Thursday, December 18th.
Math
476 – Section 02 Course Page